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Spectral analyses: raw periodogram (d=0, D=1) - Aantal overnachtingen in België

*The author of this computation has been verified*
R Software Module: /rwasp_spectrum.wasp (opens new window with default values)
Title produced by software: Spectral Analysis
Date of computation: Sat, 19 Dec 2009 05:07:06 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Dec/19/t1261224864uep6ulh4x9py3wh.htm/, Retrieved Sat, 19 Dec 2009 13:14:27 +0100
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Dec/19/t1261224864uep6ulh4x9py3wh.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
897262 1133132 1384548 2324057 2502808 2516762 5579822 4945991 2019915 1830905 1251016 949902 923000 1215747 1479112 2371781 2521576 2350559 5673323 4414295 2016902 1958302 1284086 1186305 957833 1255719 1482709 2361136 2508100 2254488 5669953 4227480 2067790 1958419 1318158 1287921 1076982 1293669 1582053 2393005 2310531 2597899 5507587 4194133 2185092 2122018 1413348 1338342 1052655 1370046 1887027 2448017 2550796 2655837 5269499 4247405 2109722 2143145 1582013 1413221 1118520 1478655 2000108 2085234 2651805 2522176 5170142 4150129 2104254 2211398 1505900 1524305 1093144 1449647 1771197 2445932 2678945 2400737 4796880 4118001 2125714 2125515 1508760 1508765 1091075 1514814 1748997 2424406 2747942 2377332 5210706 3882821 2197469 2271155 1618917 1391579 1143249 1445785 1870242 2597788 2436231 2684184 4705109 4331347 2369192 2283947 1749607 1598601 1221234 1497778 1823567 2489908 2532837 2456065 46 etc...
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0074 (135)839494020.59096
0.0148 (67.5)22455621852.6727
0.0222 (45)46269205264.7047
0.0296 (33.75)2274165338.3749
0.037 (27)12864721131.6668
0.0444 (22.5)3756356042.16339
0.0519 (19.2857)26539044201.0163
0.0593 (16.875)47321826881.7251
0.0667 (15)1390711688.95940
0.0741 (13.5)12164900533.5644
0.0815 (12.2727)33178771447.5916
0.0889 (11.25)42355299635.8318
0.0963 (10.3846)3987403183.86193
0.1037 (9.6429)7810819954.95054
0.1111 (9)11789160553.4087
0.1185 (8.4375)4611758609.87219
0.1259 (7.9412)18556719038.6725
0.1333 (7.5)33856008645.7028
0.1407 (7.1053)3965435860.83980
0.1481 (6.75)6297009583.8927
0.1556 (6.4286)141976335.575094
0.163 (6.1364)5842034340.20979
0.1704 (5.8696)32764902408.6066
0.1778 (5.625)3186364489.27945
0.1852 (5.4)7537362264.79469
0.1926 (5.1923)15177845.940729
0.2 (5)8767815336.7618
0.2074 (4.8214)38073448842.2799
0.2148 (4.6552)33190416972.5054
0.2222 (4.5)42064255789.3757
0.2296 (4.3548)11607539908.6412
0.237 (4.2188)813175609.336066
0.2444 (4.0909)879199416.467492
0.2519 (3.9706)15245243111.2662
0.2593 (3.8571)12310102513.2994
0.2667 (3.75)8714901413.26828
0.2741 (3.6486)16935359026.9379
0.2815 (3.5526)23360666723.0987
0.2889 (3.4615)61480124683.5083
0.2963 (3.375)1994124653.04630
0.3037 (3.2927)2970754598.34246
0.3111 (3.2143)1994276532.20873
0.3185 (3.1395)6349318075.80737
0.3259 (3.0682)2073854884.51605
0.3333 (3)13974336341.4428
0.3407 (2.9348)25418641175.6670
0.3481 (2.8723)119699387337.960
0.3556 (2.8125)34087520390.9488
0.363 (2.7551)18108520635.2470
0.3704 (2.7)29042655644.1108
0.3778 (2.6471)35180384929.9051
0.3852 (2.5962)127434309708.948
0.3926 (2.5472)8996630559.86584
0.4 (2.5)91864621.181127
0.4074 (2.4545)7200255908.40952
0.4148 (2.4107)3778152325.81012
0.4222 (2.3684)6911331812.16436
0.4296 (2.3276)38606266804.8741
0.437 (2.2881)150381810139.475
0.4444 (2.25)18040339101.3506
0.4519 (2.2131)45286927043.761
0.4593 (2.1774)50725610072.4333
0.4667 (2.1429)130763009750.699
0.4741 (2.1094)32621615425.9802
0.4815 (2.0769)13233517016.0038
0.4889 (2.0455)675102378.209241
0.4963 (2.0149)3366642134.95196
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261224864uep6ulh4x9py3wh/1hrby1261224423.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261224864uep6ulh4x9py3wh/1hrby1261224423.ps (open in new window)


http://www.freestatistics.org/blog/date/2009/Dec/19/t1261224864uep6ulh4x9py3wh/23qan1261224423.png (open in new window)
http://www.freestatistics.org/blog/date/2009/Dec/19/t1261224864uep6ulh4x9py3wh/23qan1261224423.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
 
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
 
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
 





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